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132461552223 = 327111327331543
BaseRepresentation
bin111101101011101010…
…0101110001001011111
3110122220110210001110200
41323113110232021133
54132240124132343
6140504010434543
712366343421310
oct1732724561137
9418813701420
10132461552223
11511a4102810
1221809132a53
13c64cb61b00
1465a838c607
1536a3ee74d3
hex1ed752e25f

132461552223 has 144 divisors (see below), whose sum is σ = 258826673664. Its totient is φ = 63390263040.

The previous prime is 132461552219. The next prime is 132461552233. The reversal of 132461552223 is 322255164231.

132461552223 is a `hidden beast` number, since 1 + 3 + 24 + 61 + 552 + 2 + 23 = 666.

It is not a de Polignac number, because 132461552223 - 22 = 132461552219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132461552233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85845990 + ... + 85847532.

It is an arithmetic number, because the mean of its divisors is an integer number (1797407456).

Almost surely, 2132461552223 is an apocalyptic number.

132461552223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132461552223 is a deficient number, since it is larger than the sum of its proper divisors (126365121441).

132461552223 is a wasteful number, since it uses less digits than its factorization.

132461552223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2310 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

It can be divided in two parts, 13246155 and 2223, that added together give a triangular number (13248378 = T5147).

The spelling of 132461552223 in words is "one hundred thirty-two billion, four hundred sixty-one million, five hundred fifty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 169 231 273 429 507 693 733 819 1001 1183 1287 1521 1543 1859 2199 3003 3549 4629 5131 5577 6597 8063 9009 9529 10647 10801 13013 13887 15393 16731 16973 20059 24189 28587 32403 39039 46179 50919 56441 60177 66703 72567 85761 97209 104819 117117 118811 123877 140413 152757 169323 180531 200109 220649 260767 314457 356433 371631 421239 507969 600327 661947 733733 782301 867139 943371 1069299 1114893 1131019 1263717 1362647 1544543 1825369 1985841 2201199 2346903 2601417 2868437 3393057 4087941 4633629 5476107 6603597 7804251 7917133 8605311 9538529 10179171 12263823 12441209 13900887 14703247 16428321 20079059 23751399 25815933 28615587 37323627 44109741 60237177 71254197 85846761 87088463 102922729 111970881 132329223 161735717 180711531 191142211 261265389 308768187 485207151 573426633 783796167 926304561 1132150019 1337995477 1455621453 1720279899 2102564321 3396450057 4013986431 6307692963 10189350171 12041959293 14717950247 18923078889 44153850741 132461552223